Answer:
<u>The correct answer is C. 5⁶</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of hens in a bird enclosure = (5³)² * 5⁰
2. What is the total number of hens in the enclosure?
Let's recall a couple of properties of the exponents:
1. When you raise any number to a zero power you'll always get 1, with the exception of zero itself.
x⁰ = 1, x ≠ 0
2. The power of a power property says that to calculate a power of a power you just have to multiply the exponents, this way:
(x⁴)⁵ = x ⁴°⁵ = x²⁰
Now, applying those two properties, we have:
(5³)² * 5⁰ = 5³°² * 1 = 5⁶
<u>The correct answer is C. 5⁶</u>
<span>Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
**
y^2=-12x
This is an equation of a parabola with a horizontal axis of symmetry.
Its standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex(0,0)
4p=12
p=3
Focus:(-3,0)
Directrix: x=3
see the graph below as a visual check on the answers:
..
y=±(-12x)^.5</span>
Each friend will get 4 eggs because you can do 4 times 2 and that equals 8
Answer:
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality
Answer:
pen = 12
book = 24
Step-by-step explanation:
x = cost of pen
2x + x = 36
3x = 36
x = 12
pen = 12
book = 24
